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Finding the Fourth Proportional to 223,916.81, 309,398.65 and 178,965.74

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Solution

The fourth proportional to 223,916.81, 309,398.65 and 178,965.74 is: 247,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,916.81 : 309,398.65 = 178,965.74 : x
  2. Step 2: Convert to fraction form
    223,916.81/309,398.65 = 178,965.74/x
  3. Step 3: Cross multiply
    223,916.81x = 309,398.65 × 178,965.74
  4. Step 4: Simplify right side
    223,916.81x = 55,371,758,678.33
  5. Step 5: Solve for x
    x = 55,371,758,678.33/223,916.81
  6. Step 6: Final answer
    x = 247,287.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.